Holographic confinement of the solitary quark

Authors

  • Saulo de Mesquita Diles Universidade Federal do Pará
  • Miguel Angel Martin Contreras
  • Alfredo Vega

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308077

Keywords:

Quark-vacuum interaction, holography, drag force

Abstract

Single quarks moving in the vacuum of confining gauge theories are stopped by a drag force. The holographic description relates the confining scale in the bulk geometry with a range of physical values for the drag force in the vacuum. The vacuum drag force acting on the isolated quark directly manifests quark confinement since it prevents the quark from walking freely in the vacuum. However, analytical expressions for the drag force as a function of the quark velocity were lacking. In the present work, we propose that the vacuum drag force is given by the regularized zero-temperature limit of the corresponding thermal drag force. Within this approach, we obtain the desired analytic expressions in two different holographic models: the quadratic dilaton and the D-instanton. In both cases, we find well-behaved functions belonging to their physical range of values.

References

S. S. Gubser, Drag force in AdS/CFT, Phys. Rev. D 74 (2006), 126005 doi:10.1103/PhysRevD.74.126005

J. M. Maldacena, The Large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998), 231-252 doi:10.1023/A:1026654312961

E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998), 253-291 doi:10.4310/ATMP.1998.v2.n2.a2]

O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000), 183-386 doi:10.1016/S0370-1573(99)00083-6

E. Nakano, S. Teraguchi and W. Y. Wen, Drag force, jet quenching, and AdS/QCD, Phys. Rev. D 75 (2007), 085016 oi:10.1103/PhysRevD.75.085016

P. Talavera, Drag force in a string model dual to large-N QCD, JHEP 01 (2007), 086 doi:10.1088/1126-6708/2007/01/086

Z. q. Zhang, Z. j. Luo and D. f. Hou, Drag force in a D-instanton background, Nucl. Phys. A 974 (2018), 1-8 doi:10.1016/j.nuclphysa.2018.03.004

Y. Xiong, X. Tang and Z. Luo, Drag force on heavy quarks from holographic QCD, Chin. Phys. C 43 (2019) no.11, 113103

doi:10.1088/1674-1137/43/11/113103

S. Tahery and X. Chen, Drag force on a moving heavy quark with deformed string configuration. [arXiv:2004.12056 [hep-th]].

A. Ali and G. Kramer, Jets and QCD: A Historical Review of the Discovery of the Quark and Gluon Jets and its Impact on QCD, Eur. Phys. J. H 36 (2011), 245-326 doi:10.1140/epjh/e2011-10047-1

S. Diles, M. A. Martin Contreras and A. Vega, Drag Force in the Vacuum of Confining Gauge Theories, [arXiv:1912.04948[hep-th]].

O. Andreev and V. I. Zakharov, Heavy-quark potentials and AdS/QCD, Phys. Rev. D 74 (2006), 025023 doi:10.1103/PhysRevD.74.025023

H. Liu and A. A. Tseytlin, D3-brane D instanton configuration and N=4 superYM theory in constant selfdual background, Nucl. Phys. B 553 (1999), 231-249 doi:10.1016/S05503213(99)00259-X

N. Armesto, C. A. Salgado and U. A. Wiedemann, Medium induced gluon radiation off massive quarks fills the dead cone, Phys. Rev. D 69 (2004), 114003 doi:10.1103/PhysRevD.69.114003

X. M. Zhang, D. C. Zhou and W. C. Xiang, Dead cone effect of heavy quark in medium, Int. J. Mod. Phys. E 16 (2007), 2123-2129 doi:10.1142/S0218301307007568

B. Gwak, M. Kim, B. H. Lee, Y. Seo and S. J. Sin, Holographic D Instanton Liquid and chiral transition, Phys. Rev. D 86 (2012), 026010 doi:10.1103/PhysRevD.86.026010

D. Tong, String Theory, [arXiv:0908.0333 [hep-th]].

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Published

2022-05-18

How to Cite

1.
de Mesquita Diles S, Martin Contreras MA, Vega A. Holographic confinement of the solitary quark. Supl. Rev. Mex. Fis. [Internet]. 2022 May 18 [cited 2024 Mar. 29];3(3):0308077 1-4. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6089